Principles of Real Analysis

Introduces students to the fundamentals of the theory of measure and functional analysis. This work includes a chapter on Hilbert spaces, and covers the basic theory of integration using a practical synthesis of the "Daniell Method" and the measure theoretic approach. It also offers a connection between real analysis and functional analysis.

Principles of Real Analysis Summary

With the success of its previous editions, Principles of Real Analysis, Third Edition, continues to introduce students to the fundamentals of the theory of measure and functional analysis. In this thorough update, the authors have included a new chapter on Hilbert spaces as well as integrating over 150 new exercises throughout. The new edition covers the basic theory of integration in a clear, well-organized manner, using an imaginative and highly practical synthesis of the "Daniell Method" and the measure theoretic approach. Students will be challenged by the more than 600 exercises contained in the book. Topics are illustrated by many varied examples, and they provide clear connections between real analysis and functional analysis.

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Principles of Real Analysis Reviews

"All in all, this is a beautiful selection and a masterfully balanced presentation of the fundamentals of contemporary measure and integration theory which can be grasped easily by the student." -J. Lorenz in ZENTRALBLATT FUR MATEMATIK "A clear and precise treatment of the subject. All details are given in the text...I used a portion of the book on extension of measures and product measures in a graduate course in real analysis. There are many exercises of varying degrees of difficulty. I highly recommend this book for classroom use." -CASPAR GOFFMAN, Department of Mathematics, Purdue University

Table of Contents

Fundamentals of Real Analysis Topology and Continuity The Theory of Measure The Lebesgue Integral Normed Spaces and Lp-Spaces Hilbert Spaces Special Topics in Integration Bibliography

Book picture is for illustrative purposes only, actual binding, cover or edition may vary.

Note

This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in very good condition, but if you are not entirely satisfied please get in touch with us.

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